Pith Number

pith:LDH77LIF

pith:2017:LDH77LIFI6VW4WY7CFG5HVL2MO

not attested not anchored not stored refs pending

Genericity of contracting elements in groups

Wenyuan Yang

arxiv:1707.06006 v1 · 2017-07-19 · math.GR · math.GT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LDH77LIFI6VW4WY7CFG5HVL2MO}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T00:39:57.845120Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

58cfffad0547ab6e5b1f114dd3d57a63826bba49747e476afb0ebee1b864f8a0

Aliases

arxiv: 1707.06006 · arxiv_version: 1707.06006v1 · doi: 10.48550/arxiv.1707.06006 · pith_short_12: LDH77LIFI6VW · pith_short_16: LDH77LIFI6VW4WY7 · pith_short_8: LDH77LIF

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/LDH77LIFI6VW4WY7CFG5HVL2MO \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 58cfffad0547ab6e5b1f114dd3d57a63826bba49747e476afb0ebee1b864f8a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd851617dbe9eff6bde694d8d3db54b39d7a96b53497f02ae3ef30abdda4ac35",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-07-19T10:11:52Z",
    "title_canon_sha256": "6d6bca7386be14ff64109583c50b52150ec058c84067c1565c2e60f403b85fd0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.06006",
    "kind": "arxiv",
    "version": 1
  }
}